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Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept;

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Tensor Calculus for Engineers and Physicists

This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry;

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Fundamentals of Advanced Mathematics V3

, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus;

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Elements of Differential Topology

chapters focus on smooth manifolds as submanifolds in a Euclidean space, the algebraic machinery of differential forms necessary for studying;

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SemiRiemannian Geometry The Mathematical Language of General Relativity

include both the Lorentz and Euclidean signatures. The remainder of the book is devoted to a discussion of smooth manifolds, smooth manifolds with;

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Introduction to Tensor Analysis and the Calculus of Moving Surfaces

of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate;

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Smooth Manifolds

need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential;

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Smooth Manifolds

need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential;

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Boundary Value Problems and Singular Pseudo-Differential Operators

self-contained presentation of the cone pseudo-differential calculus; a general method for pseudo-differential analysis on manifolds with edges;

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Introduction to Differential Geometry

This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a;

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A Course in Differential Geometry and Lie Groups

include the following: Geometric and conceptual treatment of differential calculus with a wealth of nontrivial examples. A thorough discussion;

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Smooth Manifolds and Observables

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors;

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Physical Components of Tensors

Physical Components of Tensors contains a comprehensive account of tensor calculus, and is an essential reference for graduate students or;

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Introduction to Global Variational Geometry

classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods;

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Elements of Tensor Calculus

discussions of the most important applications of tensor calculus.Starting with a chapter on vector spaces, Part I explores affine Euclidean;

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Infinite-Dimensional Manifolds

Robert Geroch's lecture notes "Infinite-Dimensional Manifolds" provide a concise, clear, and helpful introduction to a wide range;

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Tensor Calculus

Tensor Calculus while presenting the concepts and techniques begins with a brief introduction and history of tensors, followed by the study;

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Tensor Analysis on Manifolds

had a rather restricted level of use, with an emphasis on notation and the manipulation of indices. This book is an attempt to broaden this;

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Calculus of Tensors and Differential Forms

tools they need in order to use for further study on general relativity and research, such as affine tensors, tensor calculus on manifolds;

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Tensor Calculus Made Simple

of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self;

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Tensor Algebra and Tensor Analysis for Engineers

mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses;

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Analysis On Manifolds

A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic;

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Analysis On Manifolds

A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic;

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Differential Geometry and Tensors

of Tensors. Section A deals with: Theory of curves, envelopes and developables. Curves on surfaces and fundamental magnitudes, curvature;

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Dualizable Tensor Categories

, operates on any finite tensor category, and therefore supplies a trivialization of the quadruple dual. This approach produces a quadruple-dual;

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An Introduction to Differential Geometry

A solid introduction to the methods of differential geometry and tensor calculus, this volume is suitable for advanced undergraduate and;

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Tensors, Differential Forms and Variational Principles

The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior;

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